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Combinatorial proof of Maslov index formula in Heegaard Floer theory

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Publication:6660978
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DOI10.2140/agt.2024.24.4471MaRDI QIDQ6660978

Roman Krutowski

Publication date: 10 January 2025

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)




zbMATH Keywords

Maslov indexHeegaard Floer homology


Mathematics Subject Classification ID

Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)


Cites Work

  • Maslov index formulas for Whitney \(n\)-gons
  • Fukaya categories and Picard-Lefschetz theory
  • An algorithm for computing some Heegaard Floer homologies
  • Link Floer homology detects the Thurston norm
  • Holomorphic disks and topological invariants for closed three-manifolds
  • Holomorphic disks and three-manifold invariants: properties and applications
  • Holomorphic disks and genus bounds
  • Holomorphic triangles and invariants for smooth four-manifolds
  • A cylindrical reformulation of Heegaard Floer homology
  • Heegaard Floer homology and fibred 3-manifolds
  • Knot Floer homology detects genus-one fibred knots







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